polynomials and characteristics of functions

 $f\left(x\right)=x^3+x^2-24x+36$  is what type of polynomial (parent function)?

• Quadratic

• Cubic

• Quartic

• Degree 5

 $f\left(x\right)=x^3+x^2-24x+36$  has a maximum at which of the following?

• ( -3.2, 90.3)

• (-4.2, 97.5)

• (-3.7, 97.5)

• (-3.9, 88.6)

 $f\left(x\right)=x^3+x^2-24x+36$  has a maximum at which of the following?

• ( -3.2, 90.3)

• (-4.2, 97.5)

• (-3.7, 97.5)

• (-3.9, 88.6)

 $f\left(x\right)=x^3+x^2-24x+36$  has a minimum at which point

• (2.5, -2.1)

• (2.5, -3.1)

• (3.1, -2.1)

• (3.1, -2.5)

The given polynomial is decreasing over what interval?

• -3.2 < x < 2.5

• 90.3 < x < -2.1

• 2.5 < x < -3.2

• -2.1 < x < 90.3

A polynomial has roots of -4, 1, and 6. What is the polynomial in factored form?

• (x+4)(x-1)(x-6)

• (x-4)(x+1)(x+6)

•  $-4x^2+x+6$  

•  $x^3-3x^2-22x+24$  

Tags

CCSS.HSA.APR.B.3

 $f\left(x\right)=x^4-19x^2-6x+72$  has a maximum at what point?

• (-0.16, 72.47)

• (3.16, 36.97)

• (0.54, 81.32)

• (-0.22, 68.32)

 $f\left(x\right)=x^4-19x^2-6x+72$  has what y-intercept?

• (0, 72)

• (0, 56)

• (0, 64

• (0, 68)

 $f\left(x\right)=x^4-19x^2-6x+72$  has what end behavior?

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
   $As\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$  
  

 $f\left(x\right)=x^4-19x^2-6x+72$  has what end behavior?

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
   $As\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty$  
  

•  $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  
   $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$